Information on Result #2237549
Linear OA(455, 262154, F4, 8) (dual of [262154, 262099, 9]-code), using 1 times truncation based on linear OA(456, 262155, F4, 9) (dual of [262155, 262099, 10]-code), using
- construction X4 applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using
- dual of repetition code with length 11 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(455, 261598, F4, 2, 8) (dual of [(261598, 2), 523141, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(455, 261598, F4, 3, 8) (dual of [(261598, 3), 784739, 9]-NRT-code) | [i] | ||
| 3 | Digital (47, 55, 261598)-net over F4 | [i] | ||
| 4 | Linear OOA(455, 131077, F4, 2, 8) (dual of [(131077, 2), 262099, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(455, 87384, F4, 3, 8) (dual of [(87384, 3), 262097, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(455, 65538, F4, 8, 8) (dual of [(65538, 8), 524249, 9]-NRT-code) | [i] | OA Folding and Stacking | |